E-Prints Complutense

H.W. Alt & S. Luckhaus, Quasi-linear elliptic-parabolic differential equations, Math. Z. 183 (1983), 311.341.

C. Bardos, A.Y. Leroux & J. C. Nedelec, First order quasilinear equations with boundary conditions, Comm. in P.D.E. 4 (1979), 1017.1034.

Ph. Benilan, Equations d'_evolution dans un espace de Banach quelconque et applications, Th_ese d'_etat, Orsay (1972).

Ph. B_enilan & F. Bouhsiss, Un contre exemple dans le cadre des _equations hyperboliques paraboliques d_eg_en_er_ees, Publ. Math. Besanc_on, Analyse non lin_eaire 15 (1997), 123.126.

Ph. B_enilan & R. Gariepy, Strong solutions in L1 of degenerate parabolic equations, J. Diff. Eqs. 119 (1995), 473.502.

Ph. B_enilan & S.N. Kruzhkov, Quasilinear _rst-order equations with continuous nonlinearities, Russian Acad. Sci. Dokl. Math. 50 (1995), 391.396.

Ph. B_enilan & H. Tour_e, Sur l'_equation g_en_erale us D '.u/xx − .u/x Cv. C.R. Acad. Sci. Paris 299, S_erie I (1984), 919.922.

Ph. B_enilan & P. Wittbold, On mild and weak solutions of elliptic-parabolic problems, Adv. Diff. Eqs. (1996), 1053.1073.

Ph. B_enilan & P. Wittbold, Sur un probl_eme parabolique elliptique, to appear.

L. Boccardo & F. Murat, Remarques sur l'homog_en_eisation de certains probl_emes quasi-lin_eaires, Publications du Laboratoire d'analyse num_erique, Universit _e P. et M. Curie, C.N.R.S., vol. 2, fasc. 1, 1983, no enregistrement 83005.

F. Bouchut & B. Perthame, Kruzhkov estimates for scalar conservation laws revisited, to appear.

H. Br_ezis, Op_erateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland (1973).

J.Carrillo, Unicit_e des solutions du type Kruzhkov pour des probl_emes elliptiques avec des termes de transport non lin_eaires, C. R. Acad. Sci. Paris 303, S_erie I, (1986), 189.192.

J. Carrillo, On the uniqueness of the solution of the evolution dam problem, Nonlinear Anal. 22 (1994), 573.607.

J. Carrillo, Entropy solutions for _rst order quasilinear equations with discontinuous nonlinearities in bounded domains, in preparation.

J. Carrillo & P.Wittbold, Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems, in preparation.

M. G. Crandall, The semigroup approach to _rst order quasilinear equations in several spaces variables, Israel J. Math. 12 (1972), 108.122.

M. G. Crandall & T. Liggett, Generation of semi-groups of nonlinear transformations in general Banach spaces, Amer. J. Math. 93 (1971), 265.298.

J. I. Diaz & R. Kershner, On a nonlinear degenerate parabolic equation on _ltration or evaporation through a porous medium, J. Diff. Eqs. 69 (1987), 368.403.

G. Gagneux & M. Madaune-Tort, Unicit_e des solutions faibles d'_equations de diffusion-convection C. R. Acad. Sci. Paris 318 S_erie I (1994), 919.924.

D. Gilbarg & N. S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag (1977).

B. H. Gilding & L.A. Peletier, The Cauchy problem for an equation in the theory of in_ltration, Arch. Rational Mech. Anal. 61 (1976), 127.140.

E. Giusti, Minimal surfaces and functions of bounded variation, Birkh¨auser (1984).

E. Godlewski & P.A. Raviart, Hyperbolic systems of conservation laws, Math_ematques et applications Ellipses-Edition Marketing, (1990).